Universität zu Köln

Alldridge, Alexander ORCID: 0000-0001-6331-1672 and Palzer, Wolfgang (2014). ASYMPTOTICS OF SPHERICAL SUPERFUNCTIONS ON RANK ONE RIEMANNIAN SYMMETRIC SUPERSPACES. Doc. Math., 19. S. 1317 - 1367. EGGENSTEIN-LEOPOLDSHAFEN: FIZ KARLSRUHE-LEIBNIZ-INST INFORMATIONSINFRASTRUKTUR. ISSN 1431-0643

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Abstract

We compute the Harish-Chandra c-function for a generic class of rank-one purely non-compact Riemannian symmetric super-spaces X = G/K in terms of Euler functions, proving that it is meromorphic. Compared to the even case, the poles of the c-function are shifted into the right half-space. We derive the full asymptotic Harish-Chandra series expansion of the spherical superfunctions on X. In the case where the multiplicity of the simple root is an even negative number, they have a closed expression as Jacobi polynomials for an unusual choice of parameters.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Alldridge, Alexander UNSPECIFIED orcid.org/0000-0001-6331-1672 UNSPECIFIED Palzer, Wolfgang UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-448947
Journal or Publication Title:	Doc. Math.
Volume:	19
Page Range:	S. 1317 - 1367
Date:	2014
Publisher:	FIZ KARLSRUHE-LEIBNIZ-INST INFORMATIONSINFRASTRUKTUR
Place of Publication:	EGGENSTEIN-LEOPOLDSHAFEN
ISSN:	1431-0643
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language BEREZIN INTEGRATION Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/44894